Module catalogue 2018/2019
| 1M1AB1 | Mathématiques | Materials and Chemistry | S5 | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Lessons : 14 h | TD : 14 h | TP : 0 h | Project : 0 h | Total : 28 h | |||||
| Co-ordinator : Vu Hung Dao | |||||||||
| Prerequisite | |
|---|---|
| Advanced Mathematics: The different coordinate systems. Differential calculus (partial derivatives, Taylor expansion) and integral calculus (integration by parts, change of variables). Matrix algebra and linear operator (solutions of linear system, diagonalization). First and second-order linear differential equations. |
|
| Course Objectives | |
| The purpose of this course is to introduce some mathematical methods used to solve engineering problems in physical chemistry. | |
| Syllabus | |
| I. Differential and integral calculus of functions of several variables (local variations and extremum search, multiple integrals, differential operators in physics). II. Ordinary differential equations (general theory of linear differential equations and systems). III. Harmonic analysis (Fourier series and Fourier transforms). IV. Introduction to partial differential equations. |
|
| Practical work (TD or TP) | |
| Some applications in spectroscopy, quantum chemistry, materials science, chemical kinetics, thermodynamics and numerical methods. | |
| Acquired skills | |
| The acquired concepts and methods form the essential mathematical skills required to fully benefit from the other scientific courses. They allow the resolution of concrete and often complex problems in the physico-chemical field. | |
| Bibliography | |
| [1] M. Kibler. Éléments de mathématiques pour la physique et la chimie. Éd. scientifiques GB, 2001 [2] J.-M. Bony. Méthodes mathématiques pour les sciences physiques. Éd. de l’École polytechnique, 2001 [3] J.-P. Provost et G. Vallée. Les maths en physique : La physique à travers le filtre des mathématiques. Dunod, 2006 |
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